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26.11 A cell monolayer used in a tissue engineering scaffold adheres onto the top surface of a silicone rubber (polymer) sheet of 0.10cm thickness, as
26.11 A cell monolayer used in a tissue engineering scaffold adheres onto the top surface of a silicone rubber (polymer) sheet of 0.10cm thickness, as shown in the figure below. The rectangular sheet is 5.0cm by 10.0cm. The underside of the silicone polymer layer is in contact with pure O2 gas. The O2 gas dissolves into the polymer and diffuses through the polymer to the adhered cells to deliver oxygen to them. The solubility of dissolved O2 in the silicone polymer is defined by a linear relationship pA=CA/S, where pA is the partial pressure of O2 gas (atm), S is the solubility constant of O2 dissolved in the silicone polymer (S=3.15103mmole2/cm3atm at 25C ), and CA is the concentration of O2 dissolved in the silicone rubber (mmole2/cm3). The process is isothermal at 25C. The molecular diffusion coefficient of O2 in silicone rubber is 1 107cm2/s at 25C. It is assumed that (1) the cells are oxygen-starved, and so any O2 that reaches the cell layer is immediately consumed and that (2) the cells consume O2 by a zero-order process that is not dependent on dissolved O2 concentration. It is determined that the sustainable O2 consumption rate of the cell monolayer is fixed at 1.42105 mmole O2/min(0.0142 mole O2/min). What the required O2 partial pressure (pA) required to for the diffusion process to enable this O2 consumption rate? Liquid medium
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